TECHNICAL PAPERS
Mar 1, 2008

State Estimation in Structural Systems with Model Uncertainties

Publication: Journal of Engineering Mechanics
Volume 134, Issue 3

Abstract

This paper presents an observer designed under the assumption that differences between predicted and measured outputs arise from discrepancies between the real structural system and the nominal model used to represent it. The observer gain is independent of the assumed model error parametrization and proves to be the transpose of the state to output matrix of a state space formulation. The estimated state with the proposed observer is shown to be identical to that obtained by exciting the nominal model with the known input while adjusting the measured portion of the state to match the measurements at the start of every step. Numerical experiments suggest that the proposed observer can provide state estimates that are substantially more accurate than results predicted by projecting the measurements in a truncated modal space.

Get full access to this article

View all available purchase options and get full access to this article.

References

Åström, K. J., and Wittenmark, B. (1990). Computer-controlled systems, Prentice-Hall, Englewood Cliffs, N.J.
Bar-Shalom, Y., Li, X., and Kirubarajan, T. (2001). Estimation with applications in tracking and navigation, Wiley, New York.
Basseville, M., and Nikiforov, I. V. (1993). Detection of abrupt changes: Theory and application, Prentice-Hall, Englewood Cliffs, N.J.
Ching, J., Beck, J., Porter, K., and Shaikhutdinov, R. (2006). “Bayesian state estimation method for nonlinear systems and its application to recorded seismic response.” J. Eng. Mech., 132(4), 396–410.
Gelb, A. (1996). Applied optimal estimation, 14th Ed., MIT, Cambridge, Mass.
Grewal, M., and Andrews, A. (2001). Kalman filtering: Theory and practice using MATLAB, 2nd Ed., Wiley, New York.
Horn, H., and Johnson, C. (1999). Topics in matrix analysis, Cambridge University Press, New York.
Kailath, T., Sayeh, A. H., and Hassibi, B. (2000). Linear estimation, Prentice-Hall, Upper Saddle River, N.J.
Kalman, R. E. (1960). “A new approach to linear filtering and prediction problem.” ASME J. Basic Eng., 82(1), 35–45.
Luenberger, D. G. (1966). “Observing the state of a linear system.” IEEE Trans. Mil. Electron., 8, 74–80.
O’Reilly, J. (1983). Observers for linear systems, Academic, New York.
Petersen, I. R., and Savkin, A. V. (1999). Robust Kalman filtering for signals and systems with large uncertainties, Birkhausen, Boston.
Waller, H., and Schmidt, R. (1990). “The application of state estimation of state observers in structural dynamics.” Mech. Syst. Signal Process., 4(3), 195–213.
Wiener, N. (1949). Extrapolation, interpolation, and smoothing of stationary time series, MIT, Cambridge, Mass.
Wilde, P., and Kozakiewicz, A. (1993). Kalman filter in the analysis of vibrations due to water waves, World Scientific, River Edge, N.J.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 134Issue 3March 2008
Pages: 252 - 257

History

Received: Nov 29, 2005
Accepted: Jun 1, 2007
Published online: Mar 1, 2008
Published in print: Mar 2008

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Lambros S. Katafygiotis

Authors

Affiliations

Eric M. Hernandez
Senior Engineer, Simpson Gumpertz and Heger Inc., Waltham, MA 02485.
Dionisio Bernal
Associate Professor, Civil and Environmental Engineering Dept., Center for Digital Signal Processing, Northeastern Univ., Boston, MA 02115.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share